The market system does not produce public goods because
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Market failure is the economic situation defined by an inefficient distribution of goods and services in the free market. Furthermore, the individual incentives for rational behavior do not lead to rational outcomes for the group. Put another way, each individual makes the correct decision for him/herself, but those prove to be the wrong decisions for the group. In traditional microeconomics, this is shown as a steady state disequilibrium in which the quantity supplied does not equal the quantity demanded….
Externalities, by Bryan Caplan, from the Concise Encyclopedia of Economics
Positive externalities are benefits that are infeasible to charge to provide; negative externalities are costs that are infeasible to charge to not provide. Ordinarily, as Adam Smith explained, selfishness leads markets to produce whatever people want; to get rich, you have to sell what the public is eager to buy. Externalities undermine the social benefits of individual selfishness. If selfish consumers do not have to pay producers for benefits, they will not pay; and if selfish producers are not paid, they will not produce. A valuable product fails to appear. The problem, as David Friedman aptly explains, “is not that one person pays for what someone else gets but that nobody pays and nobody gets, even though the good is worth more than it would cost to produce.”…
Research and development is a standard example of a positive externality, air pollution of a negative externality….